Spring 2025
Time & Location: All talks are on Tuesdays in _______ at 3:30PM unless otherwise noted.
Organizer: Moslem Uddin
January 27
Title: Unearthing Latent Time Series in Repeated Survey Data
John V Argentino - Tulane University Host: (Moslem Uddin)
Abstract: In today’s world of readily available data, repeated survey data is commonplace in a variety of settings. These data are collected to model the impacts of particular variables of interest, which are often estimated using methods that assume temporal independence in the observed noise. This premise is shaky given how easily conceivable it is that variables not accounted for have some degree of continuity over time. This talk will present a method that seeks to reconcile mixed effect models and time series analysis while employing classic results from linear algebra to identify it’s potential pitfalls.
Time: 3:30 pm
Location: DW 102
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February 4
Title: Symbolic powers via extension
Haoxi Hu - Tulane University Host: (Moslem Uddin)
Abstract: Symbolic Powers of ideals are well-studied objects, in this talk, We investigates under which conditions the symbolic powers of the extension of an ideal is the same as the extension of the symbolic powers. Our result generalizes the known scenarios. As an application, we prove formulas for the resurgence of sum of two homogeneous ideals in finitely generated k-algebra domains, where k is algebraically closed. Initially, these were known for ideals in polynomial rings. over time. This talk will present a method that seeks to reconcile mixed effect models and time series analysis while employing classic results from linear algebra to identify it’s potential pitfalls.
Time: 3:30 pm
Location: Norman Mayer Building - MA-101 (G)
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February 11
Title: Partial Betti splittings for binomial edge ideals
Aniketh Sivakumar - Tulane University
Abstract: The Free resolution of a module is an object which contains important information about the structure of the module. These resolutions are used to define several invariants associated to a module, including their Betti numbers. In this talk, we will introduce the notion of a partial Betti splitting of a homogeneous ideal, generalizing the notion of a Betti splitting first given by Francisco, Hà, and Van Tuyl. We will also define an ideal associated to a graph known as its binomial edge ideal and describe an explicit partial Betti splitting for this class of ideals.
Time: 3:00 pm
Location: BO 242
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February 18
Title: Stochastic Differential Equations, Epidemic Models, and a brief overview on Chagas' Disease.
Joshua Agbomola - Tulane University
Abstract: The presentation provides an introduction to Chagas disease, a parasitic infection caused by Trypanosoma cruzi, primarily transmitted by Triatomine bugs. It outlines key transmission pathways, including vector-borne, congenital, and less common mechanisms. The discussion then shifts to the application of a stochastic SIS (Susceptible-Infected-Susceptible) model, illustrating how randomness can enhance epidemic modeling by accounting for variability and uncertainty in disease dynamics.
Time: 3:00 pm
Location: BO 242
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February 25
Title: Estimation of degradation rate in biological cells
Lan Trinh - Tulane University
Abstract: In our interested biological cells, the particles were born and diffused as in Brownian motions, which could then exit, degrade or stay alive at a specific time. From the figures recording locations of alive particles, we investigate the estimation of the degradation rate and its statistical properties. In this talk, I will discuss the toy model of this problem, based on which will be developed into more sophisticated setup of real cells.
Time: 3:30 pm
Location: Norman Mayer Building - MA-101 (G)
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March 18
Title: Laurent Series Expansions of $L$ -functions
Tushar Karmakar - Tulane University
Abstract: In this talk, we will be revisiting the well-known Laurent series expansion of Riemann zeta function, Hurwitz zeta function and as a generalization, Dirichlet $L$- function. Additionally, we will briefly discuss modular forms and its $L$- series and then we will see the Laurent series expansion for $L$ - function attached to cusp forms over the full modular group.
Time: 3:30 pm
Location: Norman Mayer Building - MA-101 (G)
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March 25
Topic: An Introduction to Riemann-Roch and Serre Duality
Speaker: Naufil Sakran - Tulane University
Abstract: This talk aims to introduce two fundamental theorems in algebraic geometry: the Riemann-Roch theorem and Serre duality. I will develop the necessary background and present these theorems in the setting of Riemann surfaces, following the approach in Algebraic Curves and Riemann Surfaces by Rick Miranda. I will conclude my talk by given few applications of these theorems.
Location: MA 101
Time: 3:30 PM
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April 1
Topic: Enter Improving Teaching Methods for Effective University Mathematics Education
Speaker: Sang-Eun Lee - Tulane University
Abstract: This talk aims to explore ways in which graduate students can teach mathematics more efficiently at the university level. Mathematics, a discipline that has evolved alongside human history, demands logical rigor and philosophical precision, making it a vast and profound field. However, due to these characteristics, many students perceive mathematics as a challenging subject rather than an engaging one. Upon this importance, modern North American universities require most students to complete at least one mathematics course as part of their graduation requirements, highlighting the need for effective teaching strategies. This talk will discuss the challenges from our experience from the class and potential improvements in teaching methods leading students feel more comfortable.
Location: MA 101
Time: 3:30 PM
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April 29
Topic: Order conditions for Rosenbrock methods with stage value
Speaker: Truc T Dang - Tulane University
Abstract: We first review the fundamentals of time integration and the classical Runge–Kutta methods, including their formulation and order conditions. We then explore the correspondence between Runge–Kutta order conditions and the Jacobian‐based stages of Rosenbrock integrators. In this talk, we are interested in deriving order conditions for Rosenbrock schemes: rather than relying on the traditional stage-derivative formulation, we employ stage values, introduce a general ansatz, and apply more than two Newton iterations within each stage.
Location: MA 101
Time: 3:30 PM
